LCM of 526, 558, 288, 460, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 526, 558, 288, 460, 465 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 526, 558, 288, 460, 465. So, keep reading to learn more.
Given numbers are 526,558,288,460,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 526,558,288,460,465 is 270027360.
Find LCM of 526,558,288,460,465 with Prime Factorization
| 2 | 526, 558, 288, 460, 465 |
| 2 | 263, 279, 144, 230, 465 |
| 3 | 263, 279, 72, 115, 465 |
| 3 | 263, 93, 24, 115, 155 |
| 5 | 263, 31, 8, 115, 155 |
| 31 | 263, 31, 8, 23, 31 |
| 263, 1, 8, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 31 x 263 x 1 x 8 x 23 x 1 = 270027360
Therefore, the lowest common multiple of 526,558,288,460,465 is 270027360.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
526 x 558 x 288 x 460 x 465 = 18081032025600
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
526 : 1, 2, 263, 526
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,558,288,460,465, is 1.
Now, the common factors can be found like this.
526:2x 263
558:2x 3x 3x 31
288:2x 2x 2x 2x 2x 3x 3
460:2x 2x 5x 23
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 5x 31 = 66960
Therefore, the value for common factors is 66960.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 18081032025600/(1x66960)
LCM = 18081032025600/66960
LCM = 270027360
Thus, we can understand that the LCM of 526,558,288,460,465 is 270027360.
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FAQs on LCM of 526, 558, 288, 460, 465
1. What is the LCM of 526, 558, 288, 460, 465?
Answer: LCM of 526, 558, 288, 460, 465 is 270027360.
2. How to calculate the LCM of 526, 558, 288, 460, 465?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 526, 558, 288, 460, 465.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.